Casey can install a fountain in a school garden in 20 hours. samuel can install a similar fountain in the same school garden in 30 hours. if they work together, they would take a total of t hours to install the fountain. write an algebraic expression in terms of t for the fraction of the fountain they can install together in one hour. write an equation for t. solve for t to find the total number of hours they would take to install the fountain if they work together.

F(n + 1) = f(n) – 8. if f(1) = 100, what is f(6)?

Apsychology student wishes to investigate differences in political opinions between business majors and political science majors at her college. she randomly selects 100 students from the 260 business majors and 100 students from the 180 political science majors. does this sampling plan result in a simple random sample? why or why not? no, because each group of 200 students in the sample does not have the same chance of being selected. yes, because each group of 200 students in the sample has the same chance of being selected. no, because each individual student does not have an equal chance of being selected. yes, because each individual student has the same chance of being selected.

Complete the steps, which describe how to find the area of the shaded portion of the circle. find the area of the sector by multiplying the area of the circle by the ratio of the to 360. subtract the area of the triangle from the area of the sector.